354221363120454 has 64 divisors (see below), whose sum is σ = 792014373031680. Its totient is φ = 117345468113280.

The previous prime is 354221363120453. The next prime is 354221363120467. The reversal of 354221363120454 is 454021363122453.

354221363120454 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 2 + 1 + 3 + 631 + 2 + 0 + 4 + 5 + 4 = 666.

It is a super-3 number, since 3×354221363120454³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354221363120453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267510094 + ... + 268830974.

It is an arithmetic number, because the mean of its divisors is an integer number (12375224578620).

Almost surely, 2^{354221363120454} is an apocalyptic number.

354221363120454 is an abundant number, since it is smaller than the sum of its proper divisors (437793009911226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354221363120454 is a wasteful number, since it uses less digits than its factorization.

354221363120454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351522 (or 1351516 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 354221363120454 in words is "three hundred fifty-four trillion, two hundred twenty-one billion, three hundred sixty-three million, one hundred twenty thousand, four hundred fifty-four".